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Question

A hemisphere of mass 3m and radius R is free to slide with its base on a smooth horizontal table. A particle of mass m is placed on the top of the hemisphere. If particle is displaced with a negligible velocity, then find the angular velocity of the particle relative to the centre of the hemisphere at an angular displacement q, when velocity of hemisphere is v

  1. fraction numerator 4 v over denominator R c o s invisible function application theta end fraction    
  2. fraction numerator 3 v over denominator R c o s invisible function application theta end fraction    
  3. fraction numerator 5 v over denominator R c o s invisible function application theta end fraction    
  4. fraction numerator 2 v over denominator R c o s invisible function application theta end fraction    

The correct answer is: fraction numerator 4 v over denominator R c o s invisible function application theta end fraction

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